Identifier
-
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Mp00040: Integer compositions —to partition⟶ Integer partitions
St001280: Integer partitions ⟶ ℤ
Values
[.,.] => [1] => [1] => [1] => 0
[.,[.,.]] => [2,1] => [1,1] => [1,1] => 0
[[.,.],.] => [1,2] => [2] => [2] => 1
[.,[.,[.,.]]] => [3,2,1] => [1,1,1] => [1,1,1] => 0
[.,[[.,.],.]] => [2,3,1] => [2,1] => [2,1] => 1
[[.,.],[.,.]] => [3,1,2] => [1,2] => [2,1] => 1
[[.,[.,.]],.] => [2,1,3] => [1,2] => [2,1] => 1
[[[.,.],.],.] => [1,2,3] => [3] => [3] => 1
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,1,1,1] => [1,1,1,1] => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => [2,1,1] => [2,1,1] => 1
[.,[[.,.],[.,.]]] => [4,2,3,1] => [1,2,1] => [2,1,1] => 1
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,2,1] => [2,1,1] => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => [3,1] => [3,1] => 1
[[.,.],[.,[.,.]]] => [4,3,1,2] => [1,1,2] => [2,1,1] => 1
[[.,.],[[.,.],.]] => [3,4,1,2] => [2,2] => [2,2] => 2
[[.,[.,.]],[.,.]] => [4,2,1,3] => [1,1,2] => [2,1,1] => 1
[[[.,.],.],[.,.]] => [4,1,2,3] => [1,3] => [3,1] => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => [1,1,2] => [2,1,1] => 1
[[.,[[.,.],.]],.] => [2,3,1,4] => [2,2] => [2,2] => 2
[[[.,.],[.,.]],.] => [3,1,2,4] => [1,3] => [3,1] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => [1,3] => [3,1] => 1
[[[[.,.],.],.],.] => [1,2,3,4] => [4] => [4] => 1
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,1,1,1,1] => [1,1,1,1,1] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [2,1,1,1] => [2,1,1,1] => 1
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [1,2,1,1] => [2,1,1,1] => 1
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,2,1,1] => [2,1,1,1] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,1,1] => [3,1,1] => 1
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [1,1,2,1] => [2,1,1,1] => 1
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [2,2,1] => [2,2,1] => 2
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [1,1,2,1] => [2,1,1,1] => 1
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [1,3,1] => [3,1,1] => 1
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,1,2,1] => [2,1,1,1] => 1
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [2,2,1] => [2,2,1] => 2
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [1,3,1] => [3,1,1] => 1
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,3,1] => [3,1,1] => 1
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [4,1] => [4,1] => 1
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [1,1,1,2] => [2,1,1,1] => 1
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [2,1,2] => [2,2,1] => 2
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [1,2,2] => [2,2,1] => 2
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [1,2,2] => [2,2,1] => 2
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [3,2] => [3,2] => 2
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [1,1,1,2] => [2,1,1,1] => 1
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [2,1,2] => [2,2,1] => 2
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [1,1,3] => [3,1,1] => 1
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [2,3] => [3,2] => 2
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [1,1,1,2] => [2,1,1,1] => 1
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [1,2,2] => [2,2,1] => 2
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [1,1,3] => [3,1,1] => 1
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [1,1,3] => [3,1,1] => 1
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [1,4] => [4,1] => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [1,1,1,2] => [2,1,1,1] => 1
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [2,1,2] => [2,2,1] => 2
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [1,2,2] => [2,2,1] => 2
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [1,2,2] => [2,2,1] => 2
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [3,2] => [3,2] => 2
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [1,1,3] => [3,1,1] => 1
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [2,3] => [3,2] => 2
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [1,1,3] => [3,1,1] => 1
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [1,4] => [4,1] => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [1,1,3] => [3,1,1] => 1
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,3] => [3,2] => 2
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [1,4] => [4,1] => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [1,4] => [4,1] => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [5] => [5] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [2,1,1,1,1] => [2,1,1,1,1] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [1,2,1,1,1] => [2,1,1,1,1] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,2,1,1,1] => [2,1,1,1,1] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [3,1,1,1] => [3,1,1,1] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [1,1,2,1,1] => [2,1,1,1,1] => 1
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [2,2,1,1] => [2,2,1,1] => 2
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [1,1,2,1,1] => [2,1,1,1,1] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [1,3,1,1] => [3,1,1,1] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,1,2,1,1] => [2,1,1,1,1] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [2,2,1,1] => [2,2,1,1] => 2
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [1,3,1,1] => [3,1,1,1] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,3,1,1] => [3,1,1,1] => 1
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [4,1,1] => [4,1,1] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [1,1,1,2,1] => [2,1,1,1,1] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [2,1,2,1] => [2,2,1,1] => 2
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [1,2,2,1] => [2,2,1,1] => 2
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [1,2,2,1] => [2,2,1,1] => 2
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [3,2,1] => [3,2,1] => 2
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [1,1,1,2,1] => [2,1,1,1,1] => 1
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [2,1,2,1] => [2,2,1,1] => 2
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [1,1,3,1] => [3,1,1,1] => 1
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [2,3,1] => [3,2,1] => 2
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [1,1,1,2,1] => [2,1,1,1,1] => 1
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [1,2,2,1] => [2,2,1,1] => 2
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [1,1,3,1] => [3,1,1,1] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [1,1,3,1] => [3,1,1,1] => 1
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [1,4,1] => [4,1,1] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,1,1,2,1] => [2,1,1,1,1] => 1
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [2,1,2,1] => [2,2,1,1] => 2
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [1,2,2,1] => [2,2,1,1] => 2
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,2,2,1] => [2,2,1,1] => 2
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,2,1] => [3,2,1] => 2
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [1,1,3,1] => [3,1,1,1] => 1
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [2,3,1] => [3,2,1] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [1,1,3,1] => [3,1,1,1] => 1
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [1,4,1] => [4,1,1] => 1
>>> Load all 2402 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,1,3,1] => [3,1,1,1] => 1
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [2,3,1] => [3,2,1] => 2
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [1,4,1] => [4,1,1] => 1
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,4,1] => [4,1,1] => 1
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [5,1] => [5,1] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [1,1,1,1,2] => [2,1,1,1,1] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [2,1,1,2] => [2,2,1,1] => 2
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [1,2,1,2] => [2,2,1,1] => 2
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [1,2,1,2] => [2,2,1,1] => 2
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [3,1,2] => [3,2,1] => 2
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [1,1,2,2] => [2,2,1,1] => 2
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [2,2,2] => [2,2,2] => 3
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [1,1,2,2] => [2,2,1,1] => 2
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [1,3,2] => [3,2,1] => 2
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [1,1,2,2] => [2,2,1,1] => 2
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [2,2,2] => [2,2,2] => 3
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [1,3,2] => [3,2,1] => 2
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [1,3,2] => [3,2,1] => 2
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [4,2] => [4,2] => 2
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [1,1,1,1,2] => [2,1,1,1,1] => 1
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [2,1,1,2] => [2,2,1,1] => 2
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [1,2,1,2] => [2,2,1,1] => 2
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [1,2,1,2] => [2,2,1,1] => 2
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [3,1,2] => [3,2,1] => 2
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [1,1,1,3] => [3,1,1,1] => 1
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [2,1,3] => [3,2,1] => 2
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [1,2,3] => [3,2,1] => 2
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [1,2,3] => [3,2,1] => 2
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [3,3] => [3,3] => 2
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [1,1,1,1,2] => [2,1,1,1,1] => 1
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [2,1,1,2] => [2,2,1,1] => 2
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [1,1,2,2] => [2,2,1,1] => 2
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [2,2,2] => [2,2,2] => 3
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [1,1,1,3] => [3,1,1,1] => 1
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [2,1,3] => [3,2,1] => 2
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [1,1,1,3] => [3,1,1,1] => 1
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [2,1,3] => [3,2,1] => 2
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [1,1,4] => [4,1,1] => 1
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [2,4] => [4,2] => 2
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [1,1,1,1,2] => [2,1,1,1,1] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [1,2,1,2] => [2,2,1,1] => 2
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [1,1,2,2] => [2,2,1,1] => 2
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [1,1,2,2] => [2,2,1,1] => 2
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [1,3,2] => [3,2,1] => 2
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [1,1,1,3] => [3,1,1,1] => 1
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [1,2,3] => [3,2,1] => 2
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [1,1,1,3] => [3,1,1,1] => 1
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [1,1,4] => [4,1,1] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [1,1,1,3] => [3,1,1,1] => 1
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [1,2,3] => [3,2,1] => 2
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [1,1,4] => [4,1,1] => 1
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [1,1,4] => [4,1,1] => 1
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [1,5] => [5,1] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [1,1,1,1,2] => [2,1,1,1,1] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [2,1,1,2] => [2,2,1,1] => 2
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [1,2,1,2] => [2,2,1,1] => 2
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [1,2,1,2] => [2,2,1,1] => 2
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,1,2] => [3,2,1] => 2
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [1,1,2,2] => [2,2,1,1] => 2
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [2,2,2] => [2,2,2] => 3
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [1,1,2,2] => [2,2,1,1] => 2
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [1,3,2] => [3,2,1] => 2
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [1,1,2,2] => [2,2,1,1] => 2
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [2,2,2] => [2,2,2] => 3
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [1,3,2] => [3,2,1] => 2
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [1,3,2] => [3,2,1] => 2
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [4,2] => [4,2] => 2
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [1,1,1,3] => [3,1,1,1] => 1
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [2,1,3] => [3,2,1] => 2
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [1,2,3] => [3,2,1] => 2
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [1,2,3] => [3,2,1] => 2
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [3,3] => [3,3] => 2
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [1,1,1,3] => [3,1,1,1] => 1
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [2,1,3] => [3,2,1] => 2
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [1,1,4] => [4,1,1] => 1
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [2,4] => [4,2] => 2
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [1,1,1,3] => [3,1,1,1] => 1
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [1,2,3] => [3,2,1] => 2
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [1,1,4] => [4,1,1] => 1
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [1,1,4] => [4,1,1] => 1
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [1,5] => [5,1] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [1,1,1,3] => [3,1,1,1] => 1
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [2,1,3] => [3,2,1] => 2
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [1,2,3] => [3,2,1] => 2
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [1,2,3] => [3,2,1] => 2
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [3,3] => [3,3] => 2
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [1,1,4] => [4,1,1] => 1
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [2,4] => [4,2] => 2
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [1,1,4] => [4,1,1] => 1
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [1,5] => [5,1] => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [1,1,4] => [4,1,1] => 1
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,4] => [4,2] => 2
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [1,5] => [5,1] => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [1,5] => [5,1] => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [6] => [6] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [3,1,1,1,1] => [3,1,1,1,1] => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [2,2,1,1,1] => [2,2,1,1,1] => 2
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [1,3,1,1,1] => [3,1,1,1,1] => 1
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [2,2,1,1,1] => [2,2,1,1,1] => 2
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [1,3,1,1,1] => [3,1,1,1,1] => 1
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [1,3,1,1,1] => [3,1,1,1,1] => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,1,1,1] => [4,1,1,1] => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [2,1,2,1,1] => [2,2,1,1,1] => 2
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 2
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 2
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [3,2,1,1] => [3,2,1,1] => 2
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [2,1,2,1,1] => [2,2,1,1,1] => 2
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 1
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [2,3,1,1] => [3,2,1,1] => 2
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 2
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 1
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 1
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [1,4,1,1] => [4,1,1,1] => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 1
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [2,1,2,1,1] => [2,2,1,1,1] => 2
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 2
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 2
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [3,2,1,1] => [3,2,1,1] => 2
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 1
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [2,3,1,1] => [3,2,1,1] => 2
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 1
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [1,4,1,1] => [4,1,1,1] => 1
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 1
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [2,3,1,1] => [3,2,1,1] => 2
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [1,4,1,1] => [4,1,1,1] => 1
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,4,1,1] => [4,1,1,1] => 1
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [5,1,1] => [5,1,1] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [2,1,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [1,2,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [1,2,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [3,1,2,1] => [3,2,1,1] => 2
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [1,1,2,2,1] => [2,2,1,1,1] => 2
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [2,2,2,1] => [2,2,2,1] => 3
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [1,1,2,2,1] => [2,2,1,1,1] => 2
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [1,3,2,1] => [3,2,1,1] => 2
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [1,1,2,2,1] => [2,2,1,1,1] => 2
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [2,2,2,1] => [2,2,2,1] => 3
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [1,3,2,1] => [3,2,1,1] => 2
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [1,3,2,1] => [3,2,1,1] => 2
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [4,2,1] => [4,2,1] => 2
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 1
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [2,1,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [1,2,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [1,2,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [3,1,2,1] => [3,2,1,1] => 2
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [2,1,3,1] => [3,2,1,1] => 2
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [1,2,3,1] => [3,2,1,1] => 2
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [1,2,3,1] => [3,2,1,1] => 2
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [3,3,1] => [3,3,1] => 2
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 1
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [2,1,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [1,1,2,2,1] => [2,2,1,1,1] => 2
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [2,2,2,1] => [2,2,2,1] => 3
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [2,1,3,1] => [3,2,1,1] => 2
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [2,1,3,1] => [3,2,1,1] => 2
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [2,4,1] => [4,2,1] => 2
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 1
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [1,2,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [1,1,2,2,1] => [2,2,1,1,1] => 2
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [1,1,2,2,1] => [2,2,1,1,1] => 2
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [1,3,2,1] => [3,2,1,1] => 2
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [1,2,3,1] => [3,2,1,1] => 2
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [1,2,3,1] => [3,2,1,1] => 2
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [1,5,1] => [5,1,1] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [2,1,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [1,2,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [1,2,1,2,1] => [2,2,1,1,1] => 2
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [3,1,2,1] => [3,2,1,1] => 2
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [1,1,2,2,1] => [2,2,1,1,1] => 2
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [2,2,2,1] => [2,2,2,1] => 3
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [1,1,2,2,1] => [2,2,1,1,1] => 2
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [1,3,2,1] => [3,2,1,1] => 2
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [1,1,2,2,1] => [2,2,1,1,1] => 2
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [2,2,2,1] => [2,2,2,1] => 3
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [1,3,2,1] => [3,2,1,1] => 2
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,3,2,1] => [3,2,1,1] => 2
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [4,2,1] => [4,2,1] => 2
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [2,1,3,1] => [3,2,1,1] => 2
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [1,2,3,1] => [3,2,1,1] => 2
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [1,2,3,1] => [3,2,1,1] => 2
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [3,3,1] => [3,3,1] => 2
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [2,1,3,1] => [3,2,1,1] => 2
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [2,4,1] => [4,2,1] => 2
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [1,2,3,1] => [3,2,1,1] => 2
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [1,5,1] => [5,1,1] => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [1,1,1,3,1] => [3,1,1,1,1] => 1
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [2,1,3,1] => [3,2,1,1] => 2
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [1,2,3,1] => [3,2,1,1] => 2
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,2,3,1] => [3,2,1,1] => 2
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,3,1] => [3,3,1] => 2
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [2,4,1] => [4,2,1] => 2
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [1,5,1] => [5,1,1] => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,1,4,1] => [4,1,1,1] => 1
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [2,4,1] => [4,2,1] => 2
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [1,5,1] => [5,1,1] => 1
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,5,1] => [5,1,1] => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [6,1] => [6,1] => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [1,1,1,1,1,2] => [2,1,1,1,1,1] => 1
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [2,1,1,1,2] => [2,2,1,1,1] => 2
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [1,2,1,1,2] => [2,2,1,1,1] => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [1,2,1,1,2] => [2,2,1,1,1] => 2
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [3,1,1,2] => [3,2,1,1] => 2
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [2,2,1,2] => [2,2,2,1] => 3
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [1,3,1,2] => [3,2,1,1] => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [2,2,1,2] => [2,2,2,1] => 3
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [1,3,1,2] => [3,2,1,1] => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [1,3,1,2] => [3,2,1,1] => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [4,1,2] => [4,2,1] => 2
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [2,1,2,2] => [2,2,2,1] => 3
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [1,2,2,2] => [2,2,2,1] => 3
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [1,2,2,2] => [2,2,2,1] => 3
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [3,2,2] => [3,2,2] => 3
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [2,1,2,2] => [2,2,2,1] => 3
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [1,1,3,2] => [3,2,1,1] => 2
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [2,3,2] => [3,2,2] => 3
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [1,2,2,2] => [2,2,2,1] => 3
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [1,1,3,2] => [3,2,1,1] => 2
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [1,1,3,2] => [3,2,1,1] => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [1,4,2] => [4,2,1] => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [2,1,2,2] => [2,2,2,1] => 3
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [1,2,2,2] => [2,2,2,1] => 3
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [1,2,2,2] => [2,2,2,1] => 3
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [3,2,2] => [3,2,2] => 3
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [1,1,3,2] => [3,2,1,1] => 2
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [2,3,2] => [3,2,2] => 3
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [1,1,3,2] => [3,2,1,1] => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [1,4,2] => [4,2,1] => 2
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [1,1,3,2] => [3,2,1,1] => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [2,3,2] => [3,2,2] => 3
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [1,4,2] => [4,2,1] => 2
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [1,4,2] => [4,2,1] => 2
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [5,2] => [5,2] => 2
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [1,1,1,1,1,2] => [2,1,1,1,1,1] => 1
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [2,1,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [1,2,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [1,2,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [3,1,1,2] => [3,2,1,1] => 2
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [2,2,1,2] => [2,2,2,1] => 3
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [1,3,1,2] => [3,2,1,1] => 2
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [2,2,1,2] => [2,2,2,1] => 3
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [1,3,1,2] => [3,2,1,1] => 2
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [1,3,1,2] => [3,2,1,1] => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [4,1,2] => [4,2,1] => 2
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [2,1,1,3] => [3,2,1,1] => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [3,1,3] => [3,3,1] => 2
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [2,2,3] => [3,2,2] => 3
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [1,3,3] => [3,3,1] => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [2,2,3] => [3,2,2] => 3
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [1,3,3] => [3,3,1] => 2
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [1,3,3] => [3,3,1] => 2
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [4,3] => [4,3] => 2
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [1,1,1,1,1,2] => [2,1,1,1,1,1] => 1
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [2,1,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [1,2,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [1,2,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [3,1,1,2] => [3,2,1,1] => 2
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [2,1,2,2] => [2,2,2,1] => 3
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [1,2,2,2] => [2,2,2,1] => 3
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [1,2,2,2] => [2,2,2,1] => 3
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [3,2,2] => [3,2,2] => 3
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [2,1,1,3] => [3,2,1,1] => 2
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [3,1,3] => [3,3,1] => 2
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [2,1,1,3] => [3,2,1,1] => 2
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [3,1,3] => [3,3,1] => 2
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [2,1,4] => [4,2,1] => 2
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [1,2,4] => [4,2,1] => 2
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [1,2,4] => [4,2,1] => 2
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [3,4] => [4,3] => 2
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [1,1,1,1,1,2] => [2,1,1,1,1,1] => 1
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [2,1,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [2,2,1,2] => [2,2,2,1] => 3
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [2,1,2,2] => [2,2,2,1] => 3
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [2,1,2,2] => [2,2,2,1] => 3
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [2,3,2] => [3,2,2] => 3
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [2,1,1,3] => [3,2,1,1] => 2
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [2,2,3] => [3,2,2] => 3
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [2,1,1,3] => [3,2,1,1] => 2
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [2,1,4] => [4,2,1] => 2
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [2,1,1,3] => [3,2,1,1] => 2
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [2,2,3] => [3,2,2] => 3
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [2,1,4] => [4,2,1] => 2
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [2,1,4] => [4,2,1] => 2
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [1,1,5] => [5,1,1] => 1
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [2,5] => [5,2] => 2
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [1,1,1,1,1,2] => [2,1,1,1,1,1] => 1
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [1,2,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [1,3,1,2] => [3,2,1,1] => 2
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [1,2,2,2] => [2,2,2,1] => 3
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [1,2,2,2] => [2,2,2,1] => 3
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [1,4,2] => [4,2,1] => 2
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [1,3,3] => [3,3,1] => 2
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [1,2,1,3] => [3,2,1,1] => 2
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [1,2,4] => [4,2,1] => 2
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [1,1,2,3] => [3,2,1,1] => 2
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [1,1,1,4] => [4,1,1,1] => 1
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [1,1,5] => [5,1,1] => 1
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [1,3,3] => [3,3,1] => 2
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [1,2,4] => [4,2,1] => 2
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [1,1,1,4] => [4,1,1,1] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [1,1,5] => [5,1,1] => 1
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [1,2,4] => [4,2,1] => 2
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [1,1,5] => [5,1,1] => 1
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [1,1,5] => [5,1,1] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [1,6] => [6,1] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [1,1,1,1,1,2] => [2,1,1,1,1,1] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [2,1,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [1,2,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [1,2,1,1,2] => [2,2,1,1,1] => 2
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [3,1,1,2] => [3,2,1,1] => 2
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [2,2,1,2] => [2,2,2,1] => 3
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [1,3,1,2] => [3,2,1,1] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [1,1,2,1,2] => [2,2,1,1,1] => 2
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [2,2,1,2] => [2,2,2,1] => 3
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [1,3,1,2] => [3,2,1,1] => 2
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [1,3,1,2] => [3,2,1,1] => 2
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [4,1,2] => [4,2,1] => 2
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [2,1,2,2] => [2,2,2,1] => 3
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [1,2,2,2] => [2,2,2,1] => 3
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [1,2,2,2] => [2,2,2,1] => 3
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [3,2,2] => [3,2,2] => 3
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [2,1,2,2] => [2,2,2,1] => 3
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [2,3,2] => [3,2,2] => 3
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [1,2,2,2] => [2,2,2,1] => 3
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [1,4,2] => [4,2,1] => 2
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [1,1,1,2,2] => [2,2,1,1,1] => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [2,1,2,2] => [2,2,2,1] => 3
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [1,2,2,2] => [2,2,2,1] => 3
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [1,2,2,2] => [2,2,2,1] => 3
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,2,2] => [3,2,2] => 3
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [2,3,2] => [3,2,2] => 3
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [1,4,2] => [4,2,1] => 2
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [1,1,3,2] => [3,2,1,1] => 2
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [2,3,2] => [3,2,2] => 3
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [1,4,2] => [4,2,1] => 2
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [1,4,2] => [4,2,1] => 2
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [5,2] => [5,2] => 2
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [2,1,1,3] => [3,2,1,1] => 2
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [3,1,3] => [3,3,1] => 2
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [2,2,3] => [3,2,2] => 3
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [1,3,3] => [3,3,1] => 2
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [2,2,3] => [3,2,2] => 3
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [1,3,3] => [3,3,1] => 2
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [1,3,3] => [3,3,1] => 2
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [4,3] => [4,3] => 2
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [2,1,1,3] => [3,2,1,1] => 2
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [3,1,3] => [3,3,1] => 2
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [2,1,4] => [4,2,1] => 2
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [1,2,4] => [4,2,1] => 2
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [1,2,4] => [4,2,1] => 2
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [3,4] => [4,3] => 2
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [2,1,1,3] => [3,2,1,1] => 2
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [2,2,3] => [3,2,2] => 3
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [2,1,4] => [4,2,1] => 2
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [2,1,4] => [4,2,1] => 2
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [1,1,5] => [5,1,1] => 1
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [2,5] => [5,2] => 2
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [1,3,3] => [3,3,1] => 2
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [1,2,4] => [4,2,1] => 2
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [1,1,5] => [5,1,1] => 1
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [1,2,4] => [4,2,1] => 2
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [1,1,5] => [5,1,1] => 1
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [1,1,5] => [5,1,1] => 1
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [1,6] => [6,1] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [1,1,1,1,3] => [3,1,1,1,1] => 1
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [2,1,1,3] => [3,2,1,1] => 2
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [1,2,1,3] => [3,2,1,1] => 2
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,1,3] => [3,3,1] => 2
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [2,2,3] => [3,2,2] => 3
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [1,3,3] => [3,3,1] => 2
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [1,1,2,3] => [3,2,1,1] => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [2,2,3] => [3,2,2] => 3
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [1,3,3] => [3,3,1] => 2
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [1,3,3] => [3,3,1] => 2
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [4,3] => [4,3] => 2
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [2,1,4] => [4,2,1] => 2
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [1,2,4] => [4,2,1] => 2
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [1,2,4] => [4,2,1] => 2
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [3,4] => [4,3] => 2
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [2,1,4] => [4,2,1] => 2
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [1,1,5] => [5,1,1] => 1
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [2,5] => [5,2] => 2
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [1,2,4] => [4,2,1] => 2
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [1,1,5] => [5,1,1] => 1
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [1,1,5] => [5,1,1] => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [1,6] => [6,1] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [1,1,1,4] => [4,1,1,1] => 1
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [2,1,4] => [4,2,1] => 2
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [1,2,4] => [4,2,1] => 2
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [1,2,4] => [4,2,1] => 2
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [3,4] => [4,3] => 2
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [1,1,5] => [5,1,1] => 1
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [2,5] => [5,2] => 2
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [1,1,5] => [5,1,1] => 1
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [1,6] => [6,1] => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [1,1,5] => [5,1,1] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,5] => [5,2] => 2
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [1,6] => [6,1] => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [1,6] => [6,1] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [7] => [7] => 1
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [4,1,1,1,1] => [4,1,1,1,1] => 1
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [3,2,1,1,1] => [3,2,1,1,1] => 2
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [2,3,1,1,1] => [3,2,1,1,1] => 2
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [1,4,1,1,1] => [4,1,1,1,1] => 1
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [3,2,1,1,1] => [3,2,1,1,1] => 2
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [2,3,1,1,1] => [3,2,1,1,1] => 2
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [1,4,1,1,1] => [4,1,1,1,1] => 1
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [2,3,1,1,1] => [3,2,1,1,1] => 2
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [1,4,1,1,1] => [4,1,1,1,1] => 1
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [1,4,1,1,1] => [4,1,1,1,1] => 1
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [5,1,1,1] => [5,1,1,1] => 1
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [3,1,2,1,1] => [3,2,1,1,1] => 2
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [2,2,2,1,1] => [2,2,2,1,1] => 3
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [8,6,5,7,3,4,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 2
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [2,2,2,1,1] => [2,2,2,1,1] => 3
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 2
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [4,2,1,1] => [4,2,1,1] => 2
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [3,1,2,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [3,3,1,1] => [3,3,1,1] => 2
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [7,8,4,3,5,6,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 1
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [2,4,1,1] => [4,2,1,1] => 2
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [8,5,6,3,4,7,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [8,6,3,4,5,7,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 1
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 1
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 1
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [1,5,1,1] => [5,1,1,1] => 1
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 1
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [3,1,2,1,1] => [3,2,1,1,1] => 2
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [2,2,2,1,1] => [2,2,2,1,1] => 3
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 2
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 2
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [2,2,2,1,1] => [2,2,2,1,1] => 3
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 2
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 2
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [4,2,1,1] => [4,2,1,1] => 2
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [6,7,5,3,4,8,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [6,5,7,3,4,8,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [5,6,7,3,4,8,2,1] => [3,3,1,1] => [3,3,1,1] => 2
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 1
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 1
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [1,5,1,1] => [5,1,1,1] => 1
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 1
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [5,4,6,3,7,8,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 2
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [3,3,1,1] => [3,3,1,1] => 2
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 1
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [6,4,3,5,7,8,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 1
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [1,5,1,1] => [5,1,1,1] => 1
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 1
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [2,4,1,1] => [4,2,1,1] => 2
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [1,5,1,1] => [5,1,1,1] => 1
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [1,5,1,1] => [5,1,1,1] => 1
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [6,1,1] => [6,1,1] => 1
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 1
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [1,3,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [2,2,1,2,1] => [2,2,2,1,1] => 3
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [1,3,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,2,3,1] => [1,3,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [4,1,2,1] => [4,2,1,1] => 2
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,2,3,1] => [2,1,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [3,2,2,1] => [3,2,2,1] => 3
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [2,3,2,1] => [3,2,2,1] => 3
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [1,4,2,1] => [4,2,1,1] => 2
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,2,3,1] => [2,1,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [5,6,7,4,8,2,3,1] => [3,2,2,1] => [3,2,2,1] => 3
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,2,3,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [2,3,2,1] => [3,2,2,1] => 3
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,2,3,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,2,3,1] => [1,4,2,1] => [4,2,1,1] => 2
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,2,3,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,2,3,1] => [2,3,2,1] => [3,2,2,1] => 3
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,2,3,1] => [1,4,2,1] => [4,2,1,1] => 2
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [1,4,2,1] => [4,2,1,1] => 2
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [5,2,1] => [5,2,1] => 2
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 1
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [3,1,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,2,4,1] => [2,2,1,2,1] => [2,2,2,1,1] => 3
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [1,3,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [2,2,1,2,1] => [2,2,2,1,1] => 3
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [1,3,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [1,3,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [4,1,2,1] => [4,2,1,1] => 2
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [3,1,3,1] => [3,3,1,1] => 2
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [2,2,3,1] => [3,2,2,1] => 3
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [1,3,3,1] => [3,3,1,1] => 2
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [2,2,3,1] => [3,2,2,1] => 3
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [1,3,3,1] => [3,3,1,1] => 2
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [4,3,1] => [4,3,1] => 2
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 1
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [3,1,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [2,1,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [3,2,2,1] => [3,2,2,1] => 3
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [2,1,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [3,1,3,1] => [3,3,1,1] => 2
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [2,1,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [3,1,3,1] => [3,3,1,1] => 2
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [7,8,6,2,3,4,5,1] => [2,1,4,1] => [4,2,1,1] => 2
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [3,4,1] => [4,3,1] => 2
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 1
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [2,1,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [2,1,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [7,8,3,4,5,2,6,1] => [2,3,2,1] => [3,2,2,1] => 3
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,2,3,6,1] => [2,1,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [7,8,4,5,2,3,6,1] => [2,2,3,1] => [3,2,2,1] => 3
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [7,8,5,2,3,4,6,1] => [2,1,4,1] => [4,2,1,1] => 2
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [2,1,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [8,7,3,4,2,5,6,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [2,2,3,1] => [3,2,2,1] => 3
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [2,1,4,1] => [4,2,1,1] => 2
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [2,1,4,1] => [4,2,1,1] => 2
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [2,5,1] => [5,2,1] => 2
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 1
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [8,5,3,4,6,2,7,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [1,4,2,1] => [4,2,1,1] => 2
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,2,3,7,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,2,3,7,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [8,4,3,5,2,6,7,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [1,3,3,1] => [3,3,1,1] => 2
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [8,5,2,3,4,6,7,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [1,6,1] => [6,1,1] => 1
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 1
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [3,1,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [2,2,1,2,1] => [2,2,2,1,1] => 3
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [7,5,4,6,3,2,8,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [1,3,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1] => [2,2,1,2,1] => [2,2,2,1,1] => 3
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [1,3,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [5,4,6,7,3,2,8,1] => [1,3,1,2,1] => [3,2,1,1,1] => 2
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [4,1,2,1] => [4,2,1,1] => 2
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [3,2,2,1] => [3,2,2,1] => 3
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [2,1,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [7,6,3,4,5,2,8,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [1,4,2,1] => [4,2,1,1] => 2
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 2
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [2,1,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [1,2,2,2,1] => [2,2,2,1,1] => 3
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [3,2,2,1] => [3,2,2,1] => 3
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [2,3,2,1] => [3,2,2,1] => 3
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [1,4,2,1] => [4,2,1,1] => 2
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [1,1,3,2,1] => [3,2,1,1,1] => 2
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [2,3,2,1] => [3,2,2,1] => 3
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [5,3,4,6,7,2,8,1] => [1,4,2,1] => [4,2,1,1] => 2
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [1,4,2,1] => [4,2,1,1] => 2
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [5,2,1] => [5,2,1] => 2
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [2,1,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [3,1,3,1] => [3,3,1,1] => 2
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [2,2,3,1] => [3,2,2,1] => 3
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [1,3,3,1] => [3,3,1,1] => 2
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [2,2,3,1] => [3,2,2,1] => 3
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [1,3,3,1] => [3,3,1,1] => 2
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [1,3,3,1] => [3,3,1,1] => 2
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [4,3,1] => [4,3,1] => 2
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [2,1,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [3,4,1] => [4,3,1] => 2
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [7,6,4,3,2,5,8,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [2,1,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [7,6,3,4,2,5,8,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [6,7,4,2,3,5,8,1] => [2,1,4,1] => [4,2,1,1] => 2
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [2,1,4,1] => [4,2,1,1] => 2
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [2,5,1] => [5,2,1] => 2
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [7,4,5,3,2,6,8,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [7,3,4,5,2,6,8,1] => [1,3,3,1] => [3,3,1,1] => 2
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [7,3,4,2,5,6,8,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [1,6,1] => [6,1,1] => 1
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [6,4,5,3,2,7,8,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [1,2,1,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [3,1,3,1] => [3,3,1,1] => 2
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [5,6,3,4,2,7,8,1] => [2,2,3,1] => [3,2,2,1] => 3
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [1,3,3,1] => [3,3,1,1] => 2
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [1,1,2,3,1] => [3,2,1,1,1] => 2
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [2,2,3,1] => [3,2,2,1] => 3
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [1,3,3,1] => [3,3,1,1] => 2
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [4,3,1] => [4,3,1] => 2
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [2,1,4,1] => [4,2,1,1] => 2
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [3,4,1] => [4,3,1] => 2
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [6,4,2,3,5,7,8,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [1,6,1] => [6,1,1] => 1
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [1,1,1,4,1] => [4,1,1,1,1] => 1
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [2,1,4,1] => [4,2,1,1] => 2
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [1,2,4,1] => [4,2,1,1] => 2
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,4,1] => [4,3,1] => 2
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [2,5,1] => [5,2,1] => 2
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [1,6,1] => [6,1,1] => 1
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [1,1,5,1] => [5,1,1,1] => 1
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [2,5,1] => [5,2,1] => 2
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [1,6,1] => [6,1,1] => 1
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [1,6,1] => [6,1,1] => 1
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [7,1] => [7,1] => 1
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 1
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [3,1,1,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [2,2,1,1,2] => [2,2,2,1,1] => 3
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,3,1,2] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [2,2,1,1,2] => [2,2,2,1,1] => 3
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [4,1,1,2] => [4,2,1,1] => 2
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,3,1,2] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [3,2,1,2] => [3,2,2,1] => 3
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,3,1,2] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [2,3,1,2] => [3,2,2,1] => 3
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,3,1,2] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,3,1,2] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [2,3,1,2] => [3,2,2,1] => 3
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,3,1,2] => [1,4,1,2] => [4,2,1,1] => 2
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [2,3,1,2] => [3,2,2,1] => 3
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,3,1,2] => [1,4,1,2] => [4,2,1,1] => 2
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [1,4,1,2] => [4,2,1,1] => 2
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [5,1,2] => [5,2,1] => 2
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [3,1,2,2] => [3,2,2,1] => 3
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [1,3,2,2] => [3,2,2,1] => 3
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [1,3,2,2] => [3,2,2,1] => 3
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [1,3,2,2] => [3,2,2,1] => 3
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [4,2,2] => [4,2,2] => 3
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,3,5,1,2] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,3,5,1,2] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,3,5,1,2] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,3,5,1,2] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [6,7,8,4,3,5,1,2] => [3,1,2,2] => [3,2,2,1] => 3
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [7,8,6,3,4,5,1,2] => [2,1,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [1,2,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [7,6,8,3,4,5,1,2] => [1,2,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [3,3,2] => [3,3,2] => 3
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,3,6,1,2] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [8,7,5,3,4,6,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [2,1,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [2,1,3,2] => [3,2,2,1] => 3
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [1,1,4,2] => [4,2,1,1] => 2
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [2,4,2] => [4,2,2] => 3
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [8,5,6,3,4,7,1,2] => [1,2,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [8,6,4,3,5,7,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [8,6,3,4,5,7,1,2] => [1,1,4,2] => [4,2,1,1] => 2
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [1,1,4,2] => [4,2,1,1] => 2
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [1,1,4,2] => [4,2,1,1] => 2
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [1,5,2] => [5,2,1] => 2
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,3,8,1,2] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,3,8,1,2] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [3,1,2,2] => [3,2,2,1] => 3
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,3,8,1,2] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,3,8,1,2] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [7,4,5,6,3,8,1,2] => [1,3,2,2] => [3,2,2,1] => 3
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [1,3,2,2] => [3,2,2,1] => 3
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [1,3,2,2] => [3,2,2,1] => 3
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [4,2,2] => [4,2,2] => 3
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [6,7,5,3,4,8,1,2] => [2,1,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [1,2,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [6,5,7,3,4,8,1,2] => [1,2,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [3,3,2] => [3,3,2] => 3
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [6,7,4,3,5,8,1,2] => [2,1,3,2] => [3,2,2,1] => 3
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [1,1,4,2] => [4,2,1,1] => 2
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [6,7,3,4,5,8,1,2] => [2,4,2] => [4,2,2] => 3
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [1,1,4,2] => [4,2,1,1] => 2
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [1,5,2] => [5,2,1] => 2
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [2,1,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [1,2,3,2] => [3,2,2,1] => 3
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [3,3,2] => [3,3,2] => 3
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [1,1,4,2] => [4,2,1,1] => 2
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [2,4,2] => [4,2,2] => 3
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [1,1,4,2] => [4,2,1,1] => 2
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [1,5,2] => [5,2,1] => 2
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [1,1,4,2] => [4,2,1,1] => 2
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [2,4,2] => [4,2,2] => 3
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [1,5,2] => [5,2,1] => 2
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [1,5,2] => [5,2,1] => 2
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [6,2] => [6,2] => 2
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 1
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,2,1,3] => [3,1,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [2,2,1,1,2] => [2,2,2,1,1] => 3
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,2,1,3] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [2,2,1,1,2] => [2,2,2,1,1] => 3
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [4,1,1,2] => [4,2,1,1] => 2
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,2,1,3] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,2,1,3] => [3,2,1,2] => [3,2,2,1] => 3
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,2,1,3] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,2,1,3] => [2,3,1,2] => [3,2,2,1] => 3
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,2,1,3] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,2,1,3] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [1,4,1,2] => [4,2,1,1] => 2
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,2,1,3] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [3,2,1,2] => [3,2,2,1] => 3
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [2,3,1,2] => [3,2,2,1] => 3
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [1,4,1,2] => [4,2,1,1] => 2
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,2,1,3] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,2,1,3] => [2,3,1,2] => [3,2,2,1] => 3
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [1,4,1,2] => [4,2,1,1] => 2
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [5,1,2] => [5,2,1] => 2
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [3,1,1,3] => [3,3,1,1] => 2
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,1,2,3] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [4,1,3] => [4,3,1] => 2
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,1,2,3] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [3,2,3] => [3,3,2] => 3
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [2,3,3] => [3,3,2] => 3
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [1,4,3] => [4,3,1] => 2
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [3,2,3] => [3,3,2] => 3
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [2,3,3] => [3,3,2] => 3
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [1,4,3] => [4,3,1] => 2
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [2,3,3] => [3,3,2] => 3
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [1,4,3] => [4,3,1] => 2
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [1,4,3] => [4,3,1] => 2
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [5,3] => [5,3] => 2
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 1
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [3,1,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [2,2,1,1,2] => [2,2,2,1,1] => 3
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [2,2,1,1,2] => [2,2,2,1,1] => 3
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [4,1,1,2] => [4,2,1,1] => 2
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [3,1,2,2] => [3,2,2,1] => 3
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [2,2,2,2] => [2,2,2,2] => 4
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [8,5,6,7,2,3,1,4] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [2,2,2,2] => [2,2,2,2] => 4
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [4,2,2] => [4,2,2] => 3
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [3,1,1,3] => [3,3,1,1] => 2
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,1,2,4] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [4,1,3] => [4,3,1] => 2
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [3,1,1,3] => [3,3,1,1] => 2
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [4,1,3] => [4,3,1] => 2
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [3,1,4] => [4,3,1] => 2
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [2,2,4] => [4,2,2] => 3
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [1,3,4] => [4,3,1] => 2
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [2,2,4] => [4,2,2] => 3
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [1,3,4] => [4,3,1] => 2
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [1,3,4] => [4,3,1] => 2
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [4,4] => [4,4] => 2
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [3,1,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [8,6,7,3,4,2,1,5] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [3,2,1,2] => [3,2,2,1] => 3
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,2,3,1,5] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,2,3,1,5] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [3,1,2,2] => [3,2,2,1] => 3
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [7,6,8,3,2,4,1,5] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [3,1,2,2] => [3,2,2,1] => 3
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [7,8,6,2,3,4,1,5] => [2,1,3,2] => [3,2,2,1] => 3
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [7,6,8,2,3,4,1,5] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [3,3,2] => [3,3,2] => 3
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,3,1,2,5] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,3,1,2,5] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,3,1,2,5] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [3,1,1,3] => [3,3,1,1] => 2
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [3,2,3] => [3,3,2] => 3
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,2,1,3,5] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [3,1,1,3] => [3,3,1,1] => 2
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [3,1,4] => [4,3,1] => 2
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [3,1,1,3] => [3,3,1,1] => 2
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [3,2,3] => [3,3,2] => 3
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [3,1,4] => [4,3,1] => 2
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [7,6,8,2,1,3,4,5] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [3,1,4] => [4,3,1] => 2
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [2,1,5] => [5,2,1] => 2
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [1,2,5] => [5,2,1] => 2
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [1,2,5] => [5,2,1] => 2
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [3,5] => [5,3] => 2
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [2,2,1,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [7,8,4,3,5,2,1,6] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [2,3,1,2] => [3,2,2,1] => 3
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,2,3,1,6] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [2,2,2,2] => [2,2,2,2] => 4
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [8,7,5,2,3,4,1,6] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [2,1,3,2] => [3,2,2,1] => 3
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [2,2,2,2] => [2,2,2,2] => 4
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [8,7,4,2,3,5,1,6] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [8,7,3,2,4,5,1,6] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [7,8,3,2,4,5,1,6] => [2,1,3,2] => [3,2,2,1] => 3
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [2,4,2] => [4,2,2] => 3
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [8,7,4,3,5,1,2,6] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [2,3,3] => [3,3,2] => 3
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [2,2,1,3] => [3,2,2,1] => 3
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [2,2,4] => [4,2,2] => 3
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [7,8,5,2,3,1,4,6] => [2,1,2,3] => [3,2,2,1] => 3
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [2,1,1,4] => [4,2,1,1] => 2
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [2,1,5] => [5,2,1] => 2
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [2,3,3] => [3,3,2] => 3
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [8,7,4,3,1,2,5,6] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [2,2,4] => [4,2,2] => 3
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [2,1,1,4] => [4,2,1,1] => 2
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [2,1,5] => [5,2,1] => 2
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [2,2,4] => [4,2,2] => 3
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [2,1,5] => [5,2,1] => 2
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [2,1,5] => [5,2,1] => 2
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [1,1,6] => [6,1,1] => 1
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [2,6] => [6,2] => 2
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [1,4,1,2] => [4,2,1,1] => 2
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [8,5,6,2,3,4,1,7] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [8,6,3,4,2,5,1,7] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [8,4,5,3,2,6,1,7] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [8,5,3,4,2,6,1,7] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [8,5,2,3,4,6,1,7] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [8,4,3,2,5,6,1,7] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [8,4,2,3,5,6,1,7] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [1,5,2] => [5,2,1] => 2
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [8,5,4,6,3,1,2,7] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [8,6,4,3,5,1,2,7] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [1,4,3] => [4,3,1] => 2
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,2,1,3,7] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [1,3,1,3] => [3,3,1,1] => 2
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,1,2,3,7] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [1,3,4] => [4,3,1] => 2
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [1,2,2,3] => [3,2,2,1] => 3
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [8,6,5,3,1,2,4,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [1,2,1,4] => [4,2,1,1] => 2
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [1,2,5] => [5,2,1] => 2
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [1,1,3,3] => [3,3,1,1] => 2
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [1,1,1,5] => [5,1,1,1] => 1
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [1,1,2,4] => [4,2,1,1] => 2
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [1,1,6] => [6,1,1] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [8,5,4,2,3,1,6,7] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [8,5,3,2,4,1,6,7] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [1,4,3] => [4,3,1] => 2
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [8,5,4,3,1,2,6,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [8,4,3,5,1,2,6,7] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [1,3,4] => [4,3,1] => 2
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [8,4,5,2,1,3,6,7] => [1,2,1,4] => [4,2,1,1] => 2
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [1,2,5] => [5,2,1] => 2
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [8,5,2,3,1,4,6,7] => [1,1,2,4] => [4,2,1,1] => 2
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [1,1,6] => [6,1,1] => 1
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [1,3,4] => [4,3,1] => 2
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [1,2,5] => [5,2,1] => 2
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [1,1,6] => [6,1,1] => 1
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [1,2,5] => [5,2,1] => 2
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [1,1,6] => [6,1,1] => 1
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [1,1,6] => [6,1,1] => 1
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [1,7] => [7,1] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [3,1,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [2,2,1,1,2] => [2,2,2,1,1] => 3
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [2,2,1,1,2] => [2,2,2,1,1] => 3
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [1,3,1,1,2] => [3,2,1,1,1] => 2
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [4,1,1,2] => [4,2,1,1] => 2
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [6,5,7,3,4,2,1,8] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [3,2,1,2] => [3,2,2,1] => 3
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [7,4,5,3,6,2,1,8] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [1,4,1,2] => [4,2,1,1] => 2
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 2
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [2,1,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [6,4,5,3,7,2,1,8] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [1,2,2,1,2] => [2,2,2,1,1] => 3
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [4,5,6,3,7,2,1,8] => [3,2,1,2] => [3,2,2,1] => 3
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [2,3,1,2] => [3,2,2,1] => 3
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [1,1,3,1,2] => [3,2,1,1,1] => 2
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8] => [2,3,1,2] => [3,2,2,1] => 3
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [5,1,2] => [5,2,1] => 2
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [3,1,2,2] => [3,2,2,1] => 3
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [2,2,2,2] => [2,2,2,2] => 4
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,2,3,1,8] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [2,2,2,2] => [2,2,2,2] => 4
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [4,2,2] => [4,2,2] => 3
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [3,1,2,2] => [3,2,2,1] => 3
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [2,1,3,2] => [3,2,2,1] => 3
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [3,3,2] => [3,3,2] => 3
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [2,1,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [2,2,2,2] => [2,2,2,2] => 4
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [2,1,3,2] => [3,2,2,1] => 3
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [2,1,3,2] => [3,2,2,1] => 3
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [2,4,2] => [4,2,2] => 3
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [7,3,4,5,2,6,1,8] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [7,5,2,3,4,6,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [7,4,3,2,5,6,1,8] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [7,3,2,4,5,6,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [1,5,2] => [5,2,1] => 2
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [1,2,1,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [2,2,2,2] => [2,2,2,2] => 4
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [1,1,2,2,2] => [2,2,2,1,1] => 3
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [2,2,2,2] => [2,2,2,2] => 4
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [1,3,2,2] => [3,2,2,1] => 3
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [4,2,2] => [4,2,2] => 3
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [6,4,5,2,3,7,1,8] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [3,3,2] => [3,3,2] => 3
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [2,1,3,2] => [3,2,2,1] => 3
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [6,5,2,3,4,7,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [2,4,2] => [4,2,2] => 3
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [6,3,4,2,5,7,1,8] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [1,5,2] => [5,2,1] => 2
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [1,1,1,3,2] => [3,2,1,1,1] => 2
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [2,1,3,2] => [3,2,2,1] => 3
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [5,3,4,2,6,7,1,8] => [1,2,3,2] => [3,2,2,1] => 3
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [3,3,2] => [3,3,2] => 3
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [2,4,2] => [4,2,2] => 3
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [5,3,2,4,6,7,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [1,5,2] => [5,2,1] => 2
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [1,1,4,2] => [4,2,1,1] => 2
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [2,4,2] => [4,2,2] => 3
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [1,5,2] => [5,2,1] => 2
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [1,5,2] => [5,2,1] => 2
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [6,2] => [6,2] => 2
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [6,5,7,4,3,1,2,8] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [5,6,7,4,3,1,2,8] => [3,1,1,3] => [3,3,1,1] => 2
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,3,1,2,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [4,1,3] => [4,3,1] => 2
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [7,6,5,3,4,1,2,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [6,7,5,3,4,1,2,8] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [5,6,7,3,4,1,2,8] => [3,2,3] => [3,3,2] => 3
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [7,6,4,3,5,1,2,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [6,7,4,3,5,1,2,8] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [2,3,3] => [3,3,2] => 3
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [7,5,4,3,6,1,2,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [7,4,5,3,6,1,2,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [7,4,3,5,6,1,2,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [7,3,4,5,6,1,2,8] => [1,4,3] => [4,3,1] => 2
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [5,6,4,3,7,1,2,8] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [5,4,6,3,7,1,2,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [2,3,3] => [3,3,2] => 3
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [6,4,3,5,7,1,2,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [1,4,3] => [4,3,1] => 2
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [4,5,3,6,7,1,2,8] => [2,3,3] => [3,3,2] => 3
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [5,3,4,6,7,1,2,8] => [1,4,3] => [4,3,1] => 2
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [1,4,3] => [4,3,1] => 2
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [5,3] => [5,3] => 2
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,2,1,3,8] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [3,1,1,3] => [3,3,1,1] => 2
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [6,7,4,5,2,1,3,8] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,2,1,3,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [4,1,3] => [4,3,1] => 2
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,1,2,3,8] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,1,2,3,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [3,1,4] => [4,3,1] => 2
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,1,2,3,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [6,7,4,5,1,2,3,8] => [2,2,4] => [4,2,2] => 3
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [1,3,4] => [4,3,1] => 2
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,1,2,3,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [2,2,4] => [4,2,2] => 3
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [6,4,5,7,1,2,3,8] => [1,3,4] => [4,3,1] => 2
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [1,3,4] => [4,3,1] => 2
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [4,4] => [4,4] => 2
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [6,7,5,3,2,1,4,8] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [7,5,6,3,2,1,4,8] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [5,6,7,3,2,1,4,8] => [3,1,1,3] => [3,3,1,1] => 2
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [6,7,5,2,3,1,4,8] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [6,5,7,2,3,1,4,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [3,2,3] => [3,3,2] => 3
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [7,6,5,3,1,2,4,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [6,7,5,3,1,2,4,8] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [3,1,4] => [4,3,1] => 2
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [3,1,4] => [4,3,1] => 2
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [2,1,5] => [5,2,1] => 2
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [1,2,5] => [5,2,1] => 2
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [1,2,5] => [5,2,1] => 2
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [3,5] => [5,3] => 2
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [2,3,3] => [3,3,2] => 3
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [6,7,4,3,1,2,5,8] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [7,6,3,4,1,2,5,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [2,2,4] => [4,2,2] => 3
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [7,6,4,1,2,3,5,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [6,7,3,2,1,4,5,8] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [2,2,4] => [4,2,2] => 3
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [7,6,3,1,2,4,5,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [2,1,5] => [5,2,1] => 2
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [6,7,2,1,3,4,5,8] => [2,1,5] => [5,2,1] => 2
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [1,1,6] => [6,1,1] => 1
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [2,6] => [6,2] => 2
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [7,4,5,3,2,1,6,8] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [7,5,3,4,2,1,6,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [7,4,5,2,3,1,6,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [7,4,3,2,5,1,6,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [1,4,3] => [4,3,1] => 2
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [7,4,5,3,1,2,6,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [7,4,3,5,1,2,6,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [7,3,4,5,1,2,6,8] => [1,3,4] => [4,3,1] => 2
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [1,2,5] => [5,2,1] => 2
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [7,5,2,1,3,4,6,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [1,1,6] => [6,1,1] => 1
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [7,3,4,2,1,5,6,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [7,4,2,3,1,5,6,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [7,3,2,4,1,5,6,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [1,3,4] => [4,3,1] => 2
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [1,2,5] => [5,2,1] => 2
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [1,1,6] => [6,1,1] => 1
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [1,2,5] => [5,2,1] => 2
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [1,1,6] => [6,1,1] => 1
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [1,1,6] => [6,1,1] => 1
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [1,7] => [7,1] => 1
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [2,1,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [6,4,5,3,2,1,7,8] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [1,2,1,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [3,1,1,3] => [3,3,1,1] => 2
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [6,4,3,5,2,1,7,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [6,3,4,5,2,1,7,8] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [1,1,2,1,3] => [3,2,1,1,1] => 2
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [4,5,3,6,2,1,7,8] => [2,2,1,3] => [3,2,2,1] => 3
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [4,3,5,6,2,1,7,8] => [1,3,1,3] => [3,3,1,1] => 2
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [4,1,3] => [4,3,1] => 2
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [5,6,4,2,3,1,7,8] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [6,4,5,2,3,1,7,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [4,5,6,2,3,1,7,8] => [3,2,3] => [3,3,2] => 3
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [6,5,3,2,4,1,7,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [2,3,3] => [3,3,2] => 3
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [6,3,4,2,5,1,7,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [6,3,2,4,5,1,7,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [1,4,3] => [4,3,1] => 2
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [1,1,1,2,3] => [3,2,1,1,1] => 2
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [2,1,2,3] => [3,2,2,1] => 3
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [1,2,2,3] => [3,2,2,1] => 3
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [3,2,3] => [3,3,2] => 3
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [5,4,2,3,6,1,7,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [1,4,3] => [4,3,1] => 2
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [1,1,3,3] => [3,3,1,1] => 2
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [2,3,3] => [3,3,2] => 3
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [1,4,3] => [4,3,1] => 2
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [1,4,3] => [4,3,1] => 2
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [5,3] => [5,3] => 2
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [4,5,6,3,1,2,7,8] => [3,1,4] => [4,3,1] => 2
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [6,5,3,4,1,2,7,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [2,2,4] => [4,2,2] => 3
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [6,4,3,5,1,2,7,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [4,5,3,6,1,2,7,8] => [2,2,4] => [4,2,2] => 3
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [5,3,4,6,1,2,7,8] => [1,3,4] => [4,3,1] => 2
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [4,4] => [4,4] => 2
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [3,1,4] => [4,3,1] => 2
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [6,4,5,1,2,3,7,8] => [1,2,5] => [5,2,1] => 2
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [3,5] => [5,3] => 2
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [6,5,2,3,1,4,7,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [2,2,4] => [4,2,2] => 3
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [2,1,5] => [5,2,1] => 2
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [6,5,2,1,3,4,7,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [2,6] => [6,2] => 2
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [6,3,4,2,1,5,7,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [6,3,2,4,1,5,7,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [1,3,4] => [4,3,1] => 2
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [1,2,5] => [5,2,1] => 2
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [1,7] => [7,1] => 1
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [1,1,1,1,4] => [4,1,1,1,1] => 1
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [2,1,1,4] => [4,2,1,1] => 2
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [1,2,1,4] => [4,2,1,1] => 2
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [3,1,4] => [4,3,1] => 2
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [2,2,4] => [4,2,2] => 3
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [1,3,4] => [4,3,1] => 2
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [1,1,2,4] => [4,2,1,1] => 2
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [2,2,4] => [4,2,2] => 3
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [1,3,4] => [4,3,1] => 2
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [1,3,4] => [4,3,1] => 2
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [4,4] => [4,4] => 2
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [4,5,3,1,2,6,7,8] => [2,1,5] => [5,2,1] => 2
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [1,2,5] => [5,2,1] => 2
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [3,5] => [5,3] => 2
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [2,6] => [6,2] => 2
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [1,2,5] => [5,2,1] => 2
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [1,7] => [7,1] => 1
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [1,1,1,5] => [5,1,1,1] => 1
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [2,1,5] => [5,2,1] => 2
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [1,2,5] => [5,2,1] => 2
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [1,2,5] => [5,2,1] => 2
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [3,5] => [5,3] => 2
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [2,6] => [6,2] => 2
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [1,7] => [7,1] => 1
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [1,1,6] => [6,1,1] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [2,6] => [6,2] => 2
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [1,7] => [7,1] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [1,7] => [7,1] => 1
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [8] => [8] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 1
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [5,1,1,1,1] => [5,1,1,1,1] => 1
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [6,1,1,1] => [6,1,1,1] => 1
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [7,1,1] => [7,1,1] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [8,1] => [8,1] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [9] => [9] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 2
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [7,8,9,5,6,4,3,2,1] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 2
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 1
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [6,7,8,9,4,5,3,2,1] => [4,2,1,1,1] => [4,2,1,1,1] => 2
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [6,1,1,1,1] => [6,1,1,1,1] => 1
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [5,6,7,8,9,3,4,2,1] => [5,2,1,1] => [5,2,1,1] => 2
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [7,1,1,1] => [7,1,1,1] => 1
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,2,3,1] => [6,2,1] => [6,2,1] => 2
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [8,1,1] => [8,1,1] => 1
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [7,2] => [7,2] => 2
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [9,1] => [9,1] => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [10] => [10] => 1
[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => [9,8,6,7,4,1,2,3,5] => [1,1,2,1,4] => [4,2,1,1,1] => 2
[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]] => [9,7,8,5,2,3,4,6,1] => [1,2,1,4,1] => [4,2,1,1,1] => 2
[[[[.,.],[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => [10,9,7,8,5,3,1,2,4,6] => [1,1,2,1,1,4] => [4,2,1,1,1,1] => 2
[[[.,[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => [9,8,6,7,4,2,1,3,5] => [1,1,2,1,1,3] => [3,2,1,1,1,1] => 2
[.,[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]] => [9,7,8,5,3,2,4,6,1] => [1,2,1,1,3,1] => [3,2,1,1,1,1] => 2
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [10,8,9,6,4,2,3,5,7,1] => [1,2,1,1,4,1] => [4,2,1,1,1,1] => 2
[[[[.,.],[.,.]],[[.,.],.]],[[.,.],[.,[.,.]]]] => [11,10,8,9,5,6,3,1,2,4,7] => [1,1,2,2,1,4] => [4,2,2,1,1,1] => 3
[[[[[.,.],.],.],[.,.]],[[.,.],[.,[.,.]]]] => [10,9,7,8,5,1,2,3,4,6] => [1,1,2,1,5] => [5,2,1,1,1] => 2
[[[.,.],[[.,.],.]],[[.,.],[.,[.,.]]]] => [9,8,6,7,3,4,1,2,5] => [1,1,2,2,3] => [3,2,2,1,1] => 3
[[[.,.],[.,.]],[[[.,.],[.,[.,.]]],.]] => [8,7,5,6,9,3,1,2,4] => [1,1,3,1,3] => [3,3,1,1,1] => 2
[.,[[[.,.],[[.,.],.]],[[.,.],[.,.]]]] => [9,7,8,4,5,2,3,6,1] => [1,2,2,3,1] => [3,2,2,1,1] => 3
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => [8,6,7,9,4,2,3,5,1] => [1,3,1,3,1] => [3,3,1,1,1] => 2
[.,[[[[[.,.],.],.],[.,.]],[[.,.],[.,.]]]] => [10,8,9,6,2,3,4,5,7,1] => [1,2,1,5,1] => [5,2,1,1,1] => 2
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [8,6,7,9,5,4,3,2,1] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [8,7,5,6,9,4,3,2,1] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [8,7,6,4,5,9,3,2,1] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [1,1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [8,7,6,5,3,4,9,2,1] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 1
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [1,1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,2,3,9,1] => [1,1,1,1,1,3,1] => [3,1,1,1,1,1,1] => 1
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [1,1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 1
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [8,9,7,10,5,6,3,4,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => [9,10,6,7,5,8,3,4,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]] => [8,9,6,7,5,10,3,4,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => [7,8,6,9,5,10,3,4,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [9,10,7,8,4,5,3,6,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [8,9,7,10,4,5,3,6,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [9,10,6,7,4,5,3,8,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => [9,10,5,6,4,7,3,8,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [8,9,6,7,4,5,3,10,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [7,8,6,9,4,5,3,10,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => [8,9,5,6,4,7,3,10,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => [7,8,5,6,4,9,3,10,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [6,7,5,8,4,9,3,10,1,2] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => [9,10,7,8,5,6,2,3,1,4] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]] => [8,9,7,10,5,6,2,3,1,4] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]] => [9,10,6,7,5,8,2,3,1,4] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]] => [8,9,6,7,5,10,2,3,1,4] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => [7,8,6,9,5,10,2,3,1,4] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]] => [9,10,7,8,4,5,2,3,1,6] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]] => [8,9,7,10,4,5,2,3,1,6] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]] => [9,10,7,8,3,4,2,5,1,6] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => [8,9,7,10,3,4,2,5,1,6] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => [9,10,6,7,4,5,2,3,1,8] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]] => [9,10,5,6,4,7,2,3,1,8] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]] => [9,10,6,7,3,4,2,5,1,8] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]] => [9,10,5,6,3,4,2,7,1,8] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => [9,10,4,5,3,6,2,7,1,8] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [8,9,6,7,4,5,2,3,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.] => [7,8,6,9,4,5,2,3,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.] => [8,9,5,6,4,7,2,3,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => [7,8,5,6,4,9,2,3,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.] => [6,7,5,8,4,9,2,3,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.] => [8,9,6,7,3,4,2,5,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.] => [7,8,6,9,3,4,2,5,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.] => [8,9,5,6,3,4,2,7,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.] => [8,9,4,5,3,6,2,7,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => [7,8,5,6,3,4,2,9,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.] => [6,7,5,8,3,4,2,9,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.] => [7,8,4,5,3,6,2,9,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => [6,7,4,5,3,8,2,9,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]] => [10,11,9,12,7,8,5,6,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]] => [11,12,8,9,7,10,5,6,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]] => [10,11,8,9,7,12,5,6,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]] => [9,10,8,11,7,12,5,6,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]] => [11,12,9,10,6,7,5,8,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]] => [10,11,9,12,6,7,5,8,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]] => [11,12,8,9,6,7,5,10,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]] => [11,12,7,8,6,9,5,10,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]] => [10,11,8,9,6,7,5,12,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]] => [9,10,8,11,6,7,5,12,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]] => [10,11,7,8,6,9,5,12,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]] => [9,10,7,8,6,11,5,12,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]] => [8,9,7,10,6,11,5,12,3,4,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]] => [11,12,9,10,7,8,4,5,3,6,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]] => [10,11,9,12,7,8,4,5,3,6,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]] => [11,12,8,9,7,10,4,5,3,6,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]] => [10,11,8,9,7,12,4,5,3,6,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]] => [9,10,8,11,7,12,4,5,3,6,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]] => [11,12,9,10,6,7,4,5,3,8,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]] => [10,11,9,12,6,7,4,5,3,8,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]] => [11,12,9,10,5,6,4,7,3,8,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]] => [10,11,9,12,5,6,4,7,3,8,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]] => [11,12,8,9,6,7,4,5,3,10,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]] => [11,12,7,8,6,9,4,5,3,10,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]] => [11,12,8,9,5,6,4,7,3,10,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]] => [11,12,7,8,5,6,4,9,3,10,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]] => [11,12,6,7,5,8,4,9,3,10,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [10,11,8,9,6,7,4,5,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]] => [9,10,8,11,6,7,4,5,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]] => [10,11,7,8,6,9,4,5,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]] => [9,10,7,8,6,11,4,5,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]] => [8,9,7,10,6,11,4,5,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]] => [10,11,8,9,5,6,4,7,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]] => [9,10,8,11,5,6,4,7,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]] => [10,11,7,8,5,6,4,9,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]] => [10,11,6,7,5,8,4,9,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]] => [9,10,7,8,5,6,4,11,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]] => [8,9,7,10,5,6,4,11,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]] => [9,10,6,7,5,8,4,11,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]] => [8,9,6,7,5,10,4,11,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [7,8,6,9,5,10,4,11,3,12,1,2] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [11,12,9,10,7,8,5,6,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [10,11,9,12,7,8,5,6,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => [11,12,8,9,7,10,5,6,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]] => [10,11,8,9,7,12,5,6,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => [9,10,8,11,7,12,5,6,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [11,12,9,10,6,7,5,8,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [10,11,9,12,6,7,5,8,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [11,12,8,9,6,7,5,10,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => [11,12,7,8,6,9,5,10,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [10,11,8,9,6,7,5,12,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [9,10,8,11,6,7,5,12,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => [10,11,7,8,6,9,5,12,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => [9,10,7,8,6,11,5,12,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],.]],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [8,9,7,10,6,11,5,12,2,3,1,4] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[[.,.],.]]]] => [11,12,9,10,7,8,4,5,2,3,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,[[.,.],.]],.]]] => [10,11,9,12,7,8,4,5,2,3,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],[[.,.],.]]] => [11,12,8,9,7,10,4,5,2,3,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],[[.,.],.]]],.]] => [10,11,8,9,7,12,4,5,2,3,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],.]]],[[.,[[.,[[.,.],.]],.]],.]] => [9,10,8,11,7,12,4,5,2,3,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],[[.,.],.]]]] => [11,12,9,10,7,8,3,4,2,5,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,[[.,.],.]],.]]] => [10,11,9,12,7,8,3,4,2,5,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],[[.,.],.]]] => [11,12,8,9,7,10,3,4,2,5,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],[[.,.],.]]],.]] => [10,11,8,9,7,12,3,4,2,5,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],.]],[[.,[[.,[[.,.],.]],.]],.]] => [9,10,8,11,7,12,3,4,2,5,1,6] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],[[.,.],.]]] => [11,12,9,10,6,7,4,5,2,3,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]] => [10,11,9,12,6,7,4,5,2,3,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],[[.,.],.]]] => [11,12,9,10,5,6,4,7,2,3,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,[[.,.],.]],.]] => [10,11,9,12,5,6,4,7,2,3,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],[[.,.],.]]] => [11,12,9,10,6,7,3,4,2,5,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,[[.,.],.]],.]] => [10,11,9,12,6,7,3,4,2,5,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],[[.,.],.]]] => [11,12,9,10,5,6,3,4,2,7,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,[[.,.],.]],.]] => [10,11,9,12,5,6,3,4,2,7,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],[[.,.],.]]] => [11,12,9,10,4,5,3,6,2,7,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[[.,.],.]],.]] => [10,11,9,12,4,5,3,6,2,7,1,8] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]] => [11,12,8,9,6,7,4,5,2,3,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],[[.,.],.]] => [11,12,7,8,6,9,4,5,2,3,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[[.,.],.]] => [11,12,8,9,5,6,4,7,2,3,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]] => [11,12,7,8,5,6,4,9,2,3,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],[[.,.],.]] => [11,12,6,7,5,8,4,9,2,3,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],[[.,.],.]] => [11,12,8,9,6,7,3,4,2,5,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],[[.,.],.]] => [11,12,7,8,6,9,3,4,2,5,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],[[.,.],.]] => [11,12,8,9,5,6,3,4,2,7,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],[[.,.],.]] => [11,12,8,9,4,5,3,6,2,7,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],[[.,.],.]] => [11,12,7,8,5,6,3,4,2,9,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],[[.,.],.]] => [11,12,6,7,5,8,3,4,2,9,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],[[.,.],.]] => [11,12,7,8,4,5,3,6,2,9,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],[[.,.],.]] => [11,12,6,7,4,5,3,8,2,9,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[[.,.],.]] => [11,12,5,6,4,7,3,8,2,9,1,10] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.] => [10,11,8,9,6,7,4,5,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]],.] => [9,10,8,11,6,7,4,5,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]],.] => [10,11,7,8,6,9,4,5,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]],.] => [9,10,7,8,6,11,4,5,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]],.] => [8,9,7,10,6,11,4,5,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]],.] => [10,11,8,9,5,6,4,7,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]],.] => [9,10,8,11,5,6,4,7,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]],.] => [10,11,7,8,5,6,4,9,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]],.] => [10,11,6,7,5,8,4,9,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]],.] => [9,10,7,8,5,6,4,11,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.] => [8,9,7,10,5,6,4,11,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]],.] => [9,10,6,7,5,8,4,11,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]],.] => [8,9,6,7,5,10,4,11,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.] => [7,8,6,9,5,10,4,11,2,3,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]],.] => [10,11,8,9,6,7,3,4,2,5,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]],.] => [9,10,8,11,6,7,3,4,2,5,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]],.] => [10,11,7,8,6,9,3,4,2,5,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]],.] => [9,10,7,8,6,11,3,4,2,5,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]],.] => [8,9,7,10,6,11,3,4,2,5,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]],.] => [10,11,8,9,5,6,3,4,2,7,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]],.] => [9,10,8,11,5,6,3,4,2,7,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]],.] => [10,11,8,9,4,5,3,6,2,7,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]],.] => [9,10,8,11,4,5,3,6,2,7,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]],.] => [10,11,7,8,5,6,3,4,2,9,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]],.] => [10,11,6,7,5,8,3,4,2,9,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]],.] => [10,11,7,8,4,5,3,6,2,9,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]],.] => [10,11,6,7,4,5,3,8,2,9,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]],.] => [10,11,5,6,4,7,3,8,2,9,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]],.] => [9,10,7,8,5,6,3,4,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]],.] => [8,9,7,10,5,6,3,4,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]],.] => [9,10,6,7,5,8,3,4,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]],.] => [8,9,6,7,5,10,3,4,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]],.] => [7,8,6,9,5,10,3,4,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]],.] => [9,10,7,8,4,5,3,6,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]],.] => [8,9,7,10,4,5,3,6,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]],.] => [9,10,6,7,4,5,3,8,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]],.] => [9,10,5,6,4,7,3,8,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]],.] => [8,9,6,7,4,5,3,10,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]],.] => [7,8,6,9,4,5,3,10,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]],.] => [8,9,5,6,4,7,3,10,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]],.] => [7,8,5,6,4,9,3,10,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [6,7,5,8,4,9,3,10,2,11,1,12] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [7,5,6,4,8,3,9,2,10,1] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 4
[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [8,6,4,5,7,3,9,2,10,1] => [1,1,3,2,2,1] => [3,2,2,1,1,1] => 3
[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [9,7,8,5,3,4,6,2,10,1] => [1,2,1,3,2,1] => [3,2,2,1,1,1] => 3
[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => [9,6,4,5,3,7,8,2,10,1] => [1,1,2,3,2,1] => [3,2,2,1,1,1] => 3
[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [9,7,5,3,4,6,8,2,10,1] => [1,1,1,4,2,1] => [4,2,1,1,1,1] => 2
[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]] => [9,7,8,6,10,4,2,3,5,1] => [1,2,2,1,3,1] => [3,2,2,1,1,1] => 3
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [10,8,6,7,9,4,2,3,5,1] => [1,1,3,1,3,1] => [3,3,1,1,1,1] => 2
[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [10,8,9,5,3,4,2,6,7,1] => [1,2,1,2,3,1] => [3,2,2,1,1,1] => 3
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [10,6,4,5,3,7,2,8,9,1] => [1,1,2,2,3,1] => [3,2,2,1,1,1] => 3
[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => [10,7,5,3,4,6,2,8,9,1] => [1,1,1,3,3,1] => [3,3,1,1,1,1] => 2
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [10,8,6,7,4,2,3,5,9,1] => [1,1,2,1,4,1] => [4,2,1,1,1,1] => 2
[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => [10,8,5,3,4,2,6,7,9,1] => [1,1,1,2,4,1] => [4,2,1,1,1,1] => 2
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [10,8,6,4,2,3,5,7,9,1] => [1,1,1,1,5,1] => [5,1,1,1,1,1] => 1
[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]] => [8,6,7,5,9,4,10,2,1,3] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 4
[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]] => [9,7,5,6,8,4,10,2,1,3] => [1,1,3,2,1,2] => [3,2,2,1,1,1] => 3
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [10,8,9,6,4,5,7,2,1,3] => [1,2,1,3,1,2] => [3,2,2,1,1,1] => 3
[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]] => [10,7,5,6,4,8,9,2,1,3] => [1,1,2,3,1,2] => [3,2,2,1,1,1] => 3
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [10,8,6,4,5,7,9,2,1,3] => [1,1,1,4,1,2] => [4,2,1,1,1,1] => 2
[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.] => [8,6,7,5,9,3,2,4,1,10] => [1,2,2,1,2,2] => [2,2,2,2,1,1] => 4
[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.] => [9,7,5,6,8,3,2,4,1,10] => [1,1,3,1,2,2] => [3,2,2,1,1,1] => 3
[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]] => [10,7,5,6,4,8,2,1,3,9] => [1,1,2,2,1,3] => [3,2,2,1,1,1] => 3
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [10,8,6,4,5,7,2,1,3,9] => [1,1,1,3,1,3] => [3,3,1,1,1,1] => 2
[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.] => [8,6,7,4,3,5,2,9,1,10] => [1,2,1,2,2,2] => [2,2,2,2,1,1] => 4
[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.] => [9,7,5,6,3,2,4,8,1,10] => [1,1,2,1,3,2] => [3,2,2,1,1,1] => 3
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [10,8,9,6,4,5,2,1,3,7] => [1,2,1,2,1,3] => [3,2,2,1,1,1] => 3
[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]] => [10,7,5,6,3,2,4,1,8,9] => [1,1,2,1,2,3] => [3,2,2,1,1,1] => 3
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [10,8,6,4,5,2,1,3,7,9] => [1,1,1,2,1,4] => [4,2,1,1,1,1] => 2
[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.] => [7,5,4,6,3,8,2,9,1,10] => [1,1,2,2,2,2] => [2,2,2,2,1,1] => 4
[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.] => [8,6,4,3,5,7,2,9,1,10] => [1,1,1,3,2,2] => [3,2,2,1,1,1] => 3
[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.] => [9,7,8,6,4,2,3,5,1,10] => [1,2,1,1,3,2] => [3,2,2,1,1,1] => 3
[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.] => [9,6,4,3,5,2,7,8,1,10] => [1,1,1,2,3,2] => [3,2,2,1,1,1] => 3
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [9,7,5,3,2,4,6,8,1,10] => [1,1,1,1,4,2] => [4,2,1,1,1,1] => 2
[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]] => [9,7,8,6,10,5,3,1,2,4] => [1,2,2,1,1,3] => [3,2,2,1,1,1] => 3
[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]] => [10,8,6,7,9,5,3,1,2,4] => [1,1,3,1,1,3] => [3,3,1,1,1,1] => 2
[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]] => [10,8,9,7,4,2,3,1,5,6] => [1,2,1,1,2,3] => [3,2,2,1,1,1] => 3
[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => [10,8,9,7,5,3,1,2,4,6] => [1,2,1,1,1,4] => [4,2,1,1,1,1] => 2
[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]] => [10,6,4,3,5,2,7,1,8,9] => [1,1,1,2,2,3] => [3,2,2,1,1,1] => 3
[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]] => [10,7,5,3,2,4,6,1,8,9] => [1,1,1,1,3,3] => [3,3,1,1,1,1] => 2
[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]] => [10,8,6,7,5,3,1,2,4,9] => [1,1,2,1,1,4] => [4,2,1,1,1,1] => 2
[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]] => [10,8,5,3,2,4,1,6,7,9] => [1,1,1,1,2,4] => [4,2,1,1,1,1] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [1,1,1,1,1,5] => [5,1,1,1,1,1] => 1
[.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]] => [8,6,7,5,9,4,10,3,11,2,12,1] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 5
[.,[[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]],.]] => [10,7,5,6,4,8,9,3,11,2,12,1] => [1,1,2,3,2,2,1] => [3,2,2,2,1,1,1] => 4
[.,[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.]] => [11,9,7,8,5,3,4,6,10,2,12,1] => [1,1,2,1,4,2,1] => [4,2,2,1,1,1,1] => 3
[.,[[[.,.],[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]]] => [11,9,7,8,10,6,12,4,2,3,5,1] => [1,1,3,2,1,3,1] => [3,3,2,1,1,1,1] => 3
[.,[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [12,10,8,6,7,9,11,4,2,3,5,1] => [1,1,1,4,1,3,1] => [4,3,1,1,1,1,1] => 2
[.,[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]]] => [11,9,10,8,12,5,3,4,2,6,7,1] => [1,2,2,1,2,3,1] => [3,2,2,2,1,1,1] => 4
[.,[[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.],[.,.]]] => [12,7,5,6,4,8,3,9,2,10,11,1] => [1,1,2,2,2,3,1] => [3,2,2,2,1,1,1] => 4
[.,[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],[.,.]]] => [12,9,6,4,5,3,7,8,2,10,11,1] => [1,1,1,2,3,3,1] => [3,3,2,1,1,1,1] => 3
[.,[[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]],[.,.]]] => [12,10,8,9,5,3,4,2,6,7,11,1] => [1,1,2,1,2,4,1] => [4,2,2,1,1,1,1] => 3
[.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]] => [12,10,8,6,7,4,2,3,5,9,11,1] => [1,1,1,2,1,5,1] => [5,2,1,1,1,1,1] => 2
[[.,[.,.]],[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [9,7,8,6,10,5,11,4,12,2,1,3] => [1,2,2,2,2,1,2] => [2,2,2,2,2,1,1] => 5
[[.,[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]]],.] => [9,7,8,6,10,5,11,3,2,4,1,12] => [1,2,2,2,1,2,2] => [2,2,2,2,2,1,1] => 5
[[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]],[.,.]] => [12,8,6,7,5,9,4,10,2,1,3,11] => [1,1,2,2,2,1,3] => [3,2,2,2,1,1,1] => 4
[[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]],[.,.]] => [12,10,7,5,6,4,8,9,2,1,3,11] => [1,1,1,2,3,1,3] => [3,3,2,1,1,1,1] => 3
[[.,[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.]],.] => [9,7,8,6,10,4,3,5,2,11,1,12] => [1,2,2,1,2,2,2] => [2,2,2,2,2,1,1] => 5
[[[.,[.,.]],[[.,.],[.,.]]],[[.,[[.,.],[.,.]]],.]] => [11,9,10,8,12,6,4,5,2,1,3,7] => [1,2,2,1,2,1,3] => [3,2,2,2,1,1,1] => 4
[[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.],[.,.]] => [12,8,6,7,5,9,3,2,4,1,10,11] => [1,1,2,2,1,2,3] => [3,2,2,2,1,1,1] => 4
[[.,[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.]],.] => [9,7,8,5,4,6,3,10,2,11,1,12] => [1,2,1,2,2,2,2] => [2,2,2,2,2,1,1] => 5
[[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.],[.,.]] => [12,8,6,7,4,3,5,2,9,1,10,11] => [1,1,2,1,2,2,3] => [3,2,2,2,1,1,1] => 4
[[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.],[.,.]] => [12,9,7,5,6,3,2,4,8,1,10,11] => [1,1,1,2,1,3,3] => [3,3,2,1,1,1,1] => 3
[[.,[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.]],.] => [8,6,5,7,4,9,3,10,2,11,1,12] => [1,1,2,2,2,2,2] => [2,2,2,2,2,1,1] => 5
[[[.,.],[.,.]],[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]] => [11,9,7,8,10,6,12,5,3,1,2,4] => [1,1,3,2,1,1,3] => [3,3,2,1,1,1,1] => 3
[[[.,.],[.,.]],[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [12,10,8,6,7,9,11,5,3,1,2,4] => [1,1,1,4,1,1,3] => [4,3,1,1,1,1,1] => 2
[[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.],[.,.]] => [12,7,5,4,6,3,8,2,9,1,10,11] => [1,1,1,2,2,2,3] => [3,2,2,2,1,1,1] => 4
[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],[.,.]] => [12,10,8,6,7,5,3,1,2,4,9,11] => [1,1,1,2,1,1,5] => [5,2,1,1,1,1,1] => 2
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [1,8] => [8,1] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [1,9] => [9,1] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [1,1,7] => [7,1,1] => 1
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [1,7,1] => [7,1,1] => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [1,10] => [10,1] => 1
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [1,1,8] => [8,1,1] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [1,1,7] => [7,1,1] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [9,2,3,1,4,5,6,7,8] => [1,2,6] => [6,2,1] => 2
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [1,7,1] => [7,1,1] => 1
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [2,6,1] => [6,2,1] => 2
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [1,8,1] => [8,1,1] => 1
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [10,1] => [10,1] => 1
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [2,7] => [7,2] => 2
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [3,6] => [6,3] => 2
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [4,5] => [5,4] => 2
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [5,4] => [5,4] => 2
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [6,3] => [6,3] => 2
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [1,1,7] => [7,1,1] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [2,8] => [8,2] => 2
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [1,2,6] => [6,2,1] => 2
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [3,7] => [7,3] => 2
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [7,6,8,9,1,2,3,4,5] => [1,3,5] => [5,3,1] => 2
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [4,6] => [6,4] => 2
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [6,5,7,8,9,1,2,3,4] => [1,4,4] => [4,4,1] => 2
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [5,5] => [5,5] => 2
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [5,4,6,7,8,9,1,2,3] => [1,5,3] => [5,3,1] => 2
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [6,4] => [6,4] => 2
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [4,3,5,6,7,8,9,1,2] => [1,6,2] => [6,2,1] => 2
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [7,3] => [7,3] => 2
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [8,2] => [8,2] => 2
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 2
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,3,1,2] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 2
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [1,1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 2
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 2
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [8,6,7,5,4,3,2,1,9] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 2
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [8,7,9,6,5,4,3,1,2] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 2
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [9,7,8,6,5,4,3,1,2] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 2
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [9,10,8,7,6,5,4,3,1,2] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 2
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1,1] => 1
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 4
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [8,7,9,6,10,4,2,1,3,5] => [1,2,2,1,1,3] => [3,2,2,1,1,1] => 3
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 5
[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [9,8,10,6,7,4,5,2,3,1] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 4
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [6,4,5,7,3,8,2,9,1,10] => [1,3,2,2,2] => [3,2,2,2,1] => 4
[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [8,9,6,7,4,5,2,3,10,1] => [2,2,2,3,1] => [3,2,2,2,1] => 4
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 1
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 1
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 1
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,2,3,1,4] => [1,1,1,1,1,2,2] => [2,2,1,1,1,1,1] => 2
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 1
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,3,4,2,1,5] => [1,1,1,1,2,1,2] => [2,2,1,1,1,1,1] => 2
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [9,8,7,4,5,3,2,1,6] => [1,1,1,2,1,1,2] => [2,2,1,1,1,1,1] => 2
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [10,9,8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [9,8,5,6,4,3,2,1,7] => [1,1,2,1,1,1,2] => [2,2,1,1,1,1,1] => 2
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [10,9,8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [9,6,7,5,4,3,2,1,8] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 2
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 1
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 1
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [1,1,1,1,1,4] => [4,1,1,1,1,1] => 1
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [1,1,1,1,5] => [5,1,1,1,1] => 1
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [1,1,1,6] => [6,1,1,1] => 1
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [1,1,7] => [7,1,1] => 1
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [1,8] => [8,1] => 1
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1] => 1
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [1,1,1,1,1,1,4] => [4,1,1,1,1,1,1] => 1
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [7,6,5,4,3,1,2,8,9] => [1,1,1,1,1,4] => [4,1,1,1,1,1] => 1
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [1,1,1,1,1,5] => [5,1,1,1,1,1] => 1
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [6,5,4,3,1,2,7,8,9] => [1,1,1,1,5] => [5,1,1,1,1] => 1
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [1,1,1,1,6] => [6,1,1,1,1] => 1
[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [5,4,3,1,2,6,7,8,9] => [1,1,1,6] => [6,1,1,1] => 1
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [1,1,1,7] => [7,1,1,1] => 1
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [1,1,7] => [7,1,1] => 1
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [1,1,8] => [8,1,1] => 1
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [1,8] => [8,1] => 1
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [1,9] => [9,1] => 1
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [10,8,9,7,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [10,9,8,6,7,5,4,3,2,1] => [1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,5,6,4,3,2,1] => [1,1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1] => 1
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 4
[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [10,8,9,6,7,4,5,2,1,3] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 4
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [1,7,1] => [7,1,1] => 1
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [1,10] => [10,1] => 1
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [1,1,7] => [7,1,1] => 1
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [1,7,1] => [7,1,1] => 1
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [8,9,2,3,4,5,6,7,1] => [2,6,1] => [6,2,1] => 2
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [1,8,1] => [8,1,1] => 1
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 1
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [6,2,1] => [6,2,1] => 2
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [7,2] => [7,2] => 2
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [2,7] => [7,2] => 2
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [4,5] => [5,4] => 2
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [6,3] => [6,3] => 2
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [1,2,6] => [6,2,1] => 2
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [5,2,3,4,1,6,7,8,9] => [1,3,5] => [5,3,1] => 2
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [6,2,3,4,5,1,7,8,9] => [1,4,4] => [4,4,1] => 2
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [7,2,3,4,5,6,1,8,9] => [1,5,3] => [5,3,1] => 2
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [8,2,3,4,5,6,7,1,9] => [1,6,2] => [6,2,1] => 2
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [8,2] => [8,2] => 2
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [1,8] => [8,1] => 1
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [1,8] => [8,1] => 1
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [1,8] => [8,1] => 1
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [1,8] => [8,1] => 1
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [1,8] => [8,1] => 1
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [1,9] => [9,1] => 1
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [1,9] => [9,1] => 1
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [1,9] => [9,1] => 1
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [1,9] => [9,1] => 1
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [1,9] => [9,1] => 1
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [1,9] => [9,1] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [1,9] => [9,1] => 1
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [1,6,2] => [6,2,1] => 2
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1] => 1
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [1,1,1,1,4,1] => [4,1,1,1,1,1] => 1
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [8,9,6,5,4,3,2,1,7] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 2
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [11] => [11] => 1
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1] => 1
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,2,1,3,9] => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 1
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1] => 1
[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]] => [7,8,2,3,4,5,6,9,1] => [2,6,1] => [6,2,1] => 2
[.,[[[[[.,.],.],.],.],[[[.,.],.],.]]] => [7,8,9,2,3,4,5,6,1] => [3,5,1] => [5,3,1] => 2
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [3,4,5,1,2,6,7,8,9] => [3,6] => [6,3] => 2
[[[[[[[[.,.],.],.],.],.],[[.,.],.]],.],.] => [7,8,1,2,3,4,5,6,9,10] => [2,8] => [8,2] => 2
[[[[[[[.,.],.],.],.],.],[[[.,.],.],.]],.] => [7,8,9,1,2,3,4,5,6,10] => [3,7] => [7,3] => 2
[[[[.,[[[[.,.],.],.],.]],.],.],[.,.]] => [9,2,3,4,5,1,6,7,8] => [1,4,4] => [4,4,1] => 2
[.,[.,[[[[.,[[[.,.],.],.]],.],.],.]]] => [4,5,6,3,7,8,9,2,1] => [3,4,1,1] => [4,3,1,1] => 2
[.,[[[[[.,[[[[.,.],.],.],.]],.],.],.],.]] => [3,4,5,6,2,7,8,9,10,1] => [4,5,1] => [5,4,1] => 2
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]] => [6,2,3,4,5,7,8,9,10,1] => [1,8,1] => [8,1,1] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1] => 1
[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,3,1,2] => [6,1,2] => [6,2,1] => 2
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,2,1,3] => [6,1,2] => [6,2,1] => 2
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [6,3] => [6,3] => 2
[.,[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]] => [6,7,8,5,4,3,2,9,1] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 2
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [1,1,8] => [8,1,1] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [1,1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1,1] => 1
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [1,1,1,6] => [6,1,1,1] => 1
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [1,1,1,1,5] => [5,1,1,1,1] => 1
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [1,1,1,1,1,4] => [4,1,1,1,1,1] => 1
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [1,1,7] => [7,1,1] => 1
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [1,1,1,7] => [7,1,1,1] => 1
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [1,1,1,1,6] => [6,1,1,1,1] => 1
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [1,1,1,1,1,5] => [5,1,1,1,1,1] => 1
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,4] => [4,1,1,1,1,1,1] => 1
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [1,2,6] => [6,2,1] => 2
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 1
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 2
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [8,9,7,6,5,4,3,2,10,1] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 2
[.,[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]] => [7,6,8,5,4,3,2,9,1] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 2
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [2,1,6] => [6,2,1] => 2
[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]] => [5,4,6,7,8,9,3,2,1] => [1,5,1,1,1] => [5,1,1,1,1] => 1
[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]] => [6,5,7,8,9,4,3,2,1] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 1
[.,[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]]] => [6,5,7,8,9,10,4,3,2,1] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 1
[.,[.,[[.,[[[[.,[.,.]],.],.],.]],.]]] => [5,4,6,7,8,3,9,2,1] => [1,4,2,1,1] => [4,2,1,1,1] => 2
[.,[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]]] => [5,4,6,7,8,9,10,3,2,1] => [1,6,1,1,1] => [6,1,1,1,1] => 1
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [1,1,1,1,1,2,2] => [2,2,1,1,1,1,1] => 2
[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.] => [6,5,4,3,2,7,1,8,9] => [1,1,1,1,2,3] => [3,2,1,1,1,1] => 2
[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.] => [5,4,3,2,6,1,7,8,9] => [1,1,1,2,4] => [4,2,1,1,1] => 2
[[[[[.,[[.,[.,[.,.]]],.]],.],.],.],.] => [4,3,2,5,1,6,7,8,9] => [1,1,2,5] => [5,2,1,1] => 2
[[.,[.,[.,[.,.]]]],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,4,3,2,1,5] => [5,1,1,1,2] => [5,2,1,1,1] => 2
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [8,7,1,2,3,4,5,6,9] => [1,1,7] => [7,1,1] => 1
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [1,6,2] => [6,2,1] => 2
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [8,7,5,4,3,2,1,6,9] => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 1
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [9,7,6,5,4,3,2,1,8,10] => [1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]] => [9,6,7,8,5,4,3,2,1] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,3,9,1,2] => [1,1,1,1,1,2,2] => [2,2,1,1,1,1,1] => 2
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [1,6,2] => [6,2,1] => 2
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [2,7] => [7,2] => 2
[.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,9,2,10,1] => [7,2,1] => [7,2,1] => 2
[[.,[.,[[[[[.,.],.],.],.],.]]],[.,.]] => [9,3,4,5,6,7,2,1,8] => [1,5,1,2] => [5,2,1,1] => 2
[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]] => [4,5,6,7,8,9,10,2,3,1] => [7,2,1] => [7,2,1] => 2
[[[[.,[.,[[[[.,.],.],.],.]]],.],.],.] => [3,4,5,6,2,1,7,8,9] => [4,1,4] => [4,4,1] => 2
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [2,9] => [9,2] => 2
[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,1,2,3,9] => [1,1,1,1,1,4] => [4,1,1,1,1,1] => 1
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [9,8,2,3,4,5,6,7,1] => [1,1,6,1] => [6,1,1,1] => 1
[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]] => [10,9,2,3,4,5,6,7,8,1] => [1,1,7,1] => [7,1,1,1] => 1
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [3,4,5,6,7,8,2,1,9] => [6,1,2] => [6,2,1] => 2
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [10,3,1,2,4,5,6,7,8,9] => [1,1,8] => [8,1,1] => 1
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [9,2,3,4,5,6,1,7,8] => [1,5,3] => [5,3,1] => 2
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [10,8,7,6,5,4,3,1,2,9] => [1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1] => 1
[[[.,[.,[[[[[.,.],.],.],.],.]]],.],.] => [3,4,5,6,7,2,1,8,9] => [5,1,3] => [5,3,1] => 2
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [2,1,1,1,1,3] => [3,2,1,1,1,1] => 2
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [9,10,7,6,5,4,3,2,1,8] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 2
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] => [9,8,2,3,4,5,6,1,7] => [1,1,5,2] => [5,2,1,1] => 2
[[[[[.,[.,[[[.,.],.],.]]],.],.],.],.] => [3,4,5,2,1,6,7,8,9] => [3,1,5] => [5,3,1] => 2
[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [9,3,4,5,6,7,8,2,1] => [1,6,1,1] => [6,1,1,1] => 1
[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] => [7,6,8,9,5,4,3,2,1] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]] => [7,6,8,5,9,4,3,2,1] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 2
[.,[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]] => [8,7,9,10,6,5,4,3,2,1] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 1
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,4 1,11,2 1,26,15 1,57,69,5 1,120,252,56
F1=1
F2=1+q
F3=1+4 q
F4=1+11 q+2 q2
F5=1+26 q+15 q2
F6=1+57 q+69 q2+5 q3
F7=1+120 q+252 q2+56 q3
Description
The number of parts of an integer partition that are at least two.
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation π of length n is the integer composition of n whose descent set equals the descent set of π. The descent set of a permutation π is {i∣1≤i<n,π(i)>π(i+1)}. The descent set of a composition c=(i1,i2,…,ik) is the set {i1,i1+i2,i1+i2+i3,…,i1+i2+⋯+ik−1}.
The descent composition of a permutation π of length n is the integer composition of n whose descent set equals the descent set of π. The descent set of a permutation π is {i∣1≤i<n,π(i)>π(i+1)}. The descent set of a composition c=(i1,i2,…,ik) is the set {i1,i1+i2,i1+i2+i3,…,i1+i2+⋯+ik−1}.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
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